68167416240 has 1200 divisors, whose sum is σ = 311268782880. Its totient is φ = 13655900160.

The previous prime is 68167416217. The next prime is 68167416259. The reversal of 68167416240 is 4261476186.

68167416240 is a `hidden beast` number, since 6 + 8 + 16 + 7 + 4 + 1 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 101288544 + ... + 101289216.

Almost surely, 2^68167416240 is an apocalyptic number.

68167416240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68167416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155634391440).

68167416240 is an abundant number, since it is smaller than the sum of its proper divisors (243101366640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68167416240 is a wasteful number, since it uses less digits than its factorization.

68167416240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68167416240 in words is "sixty-eight billion, one hundred sixty-seven million, four hundred sixteen thousand, two hundred forty".